Orbital Mott transition in two dimensional pyrochlore lattice.

We study orbital Mott transition in two dimensional pyrochlore lattice, using a two orbital Hubbard model with only inter-orbital electronic hopping. We use a real space Monte Carlo based approach to study the model at finite temperature, and establish temperature-interaction phase diagram that highlights the Mott transition, orbital ordering, and spectral trends, and possible window of pseudogap. Due to only inter-orbital hopping, the Mott insulator 'generates' ferro exchange resulting in ferro-orbital ordering, with T corr/t peaked at ≈0.2 around U/t ≈ 6. The optical conductivity shows unusual two peak feature due to two dimensional pyrochlore lattice.